Gorenstein injective modules and Auslander categories |
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Authors: | Mohammad Ali Esmkhani Massoud Tousi |
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Affiliation: | (1) Department of Mathematics, Shahid Beheshti University, Tehran, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran |
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Abstract: | In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ,M) belongs to Auslander category B(Ȓ), M is cotorsion and Ext i R (E,M) = 0 for all injective R-modules E and all i > 0. Received: 24 August 2006 Revised: 30 October 2006 |
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Keywords: | Primary 13D05, 13D07 Secondary 13C11 |
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